MAC-2311 Midterm: MAC2311-01 test-2
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Please show your work or line of reasoning. An answer with no work or reasoning receives no credit. You may use the back of a page if you need more space for a problem. Page 1 of 6: in each part, nd the derivative of the given function. (a) (10 points) f (t) = T t t1/6 + 1 (b) (10 points) g( ) = Page 2 of 6 (c) (10 points) h(t) = etan(t) (d) (10 points) g(x) = x arccos(x) Page 3 of 6: (20 points) in the equation ey cos(x) = 1 + sin(xy) regard y as a function of x and use implicit di erentiation to nd dy dx. Page 4 of 6: let f be the function given by f (x) = ln(cid:18) x2. 2x (a) (10 points) find the domain of f . (b) (10 points) find f (x).